Answer :

To round a decimal number to the nearest tenth, you need to look at the hundredths place (the second digit to the right of the decimal point). If the hundredths digit is 5 or greater, you round up the tenths place (the first digit to the right of the decimal point). If it is less than 5, you round down.

Let's apply this rule to the number 765.453:

1. Identify the tenths and hundredths digits:
- The tenths digit is 4.
- The hundredths digit is 5.

2. Since the hundredths digit (5) is equal to 5, we round the tenths digit (4) up by 1.

Thus, 765.453 rounded to the nearest tenth is 765.5.

So, the correct answer is:
B. 765.5